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Modeling propagation and extinction of aluminum dust particles in a reaction medium with spatially uniform distribution of particles

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Abstract

In this paper, propagation and quenching of aluminum dust flame in narrow channels with infinite length and constant width are investigated. Particles are distributed uniformly in three-dimensional space in a quiescent reaction medium. The combustion of a single particle was first studied, and the solution is presented. Each burning/burned particle is considered as a heat source, and the amount of heat loss to the channel walls is assumed as sink source. Based on the superposition principle, the space–time temperature distribution of particles and the heat loss to the walls are estimated based on the generated code. In this study, the amount of heat loss and quenching distance have been investigated as a function of aluminum dust concentration and particle diameter. The effects of preheating of the walls are also studied on quenching distance and heat loss. The estimated results are compared with the experimental data and show a fairly good agreement. The initial wall temperature affects the heat loss, and with the increase in the wall’s initial temperature, the value of quenching distance will be decreased.

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Abbreviations

q′:

Rate of heat release

L :

Distance between the layers

c p :

Heat capacity at constant pressure

T :

Temperature

Q :

Total heat released

x, y, z :

The dimensional Cartesian coordinate system

x′, y′, z′:

The non-dimensional Cartesian coordinate system

B :

Mass concentration

t :

Time

d :

Particle diameter

i, m :

The counter

in :

Initial temperature

ad :

Adiabatic temperature

a :

Air

p :

Particle

w :

Wall

ig :

Ignition time

c :

Combustion time

v :

Velocity

α :

Thermal diffusivity

τ :

Non-dimensional time

ψ, γ :

Non-dimensional parameters

θ :

Non-dimensional temperature

ρ :

Particle density

σ :

Variance

η :

Non-dimensional velocity

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Authors and Affiliations

  1. School of Mechanical Engineering, Iran University of Science and Technology (IUST), Narmak, Tehran, 16846-13114, Iran

    Mehdi Bidabadi, Saeed Amrollahy Biouki, Abolfazl Afzalabadi, Amir Arsalan Dehghan & Alireza Khoeini Poorfar

  2. CIENER/INEGI/Engineering Department, School of Science and Technology, University of UTAD, Quinta dos Prados, Vila Real, Portugal

    Abel Rouboa

  3. Mechanical Engineering and Applied Mechanics Department, University of Pennsylvania, Philadelphia, PA, USA

    Abel Rouboa

Authors
  1. Mehdi Bidabadi
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  2. Saeed Amrollahy Biouki
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  3. Abolfazl Afzalabadi
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  4. Amir Arsalan Dehghan
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  5. Alireza Khoeini Poorfar
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  6. Abel Rouboa
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Correspondence to Alireza Khoeini Poorfar.

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Bidabadi, M., Biouki, S.A., Afzalabadi, A. et al. Modeling propagation and extinction of aluminum dust particles in a reaction medium with spatially uniform distribution of particles. J Therm Anal Calorim 129, 1855–1864 (2017). https://doi.org/10.1007/s10973-017-6338-9

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  • DOI: https://doi.org/10.1007/s10973-017-6338-9

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